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Finding the Fourth Proportional to 5,397.38, 7,448.40 and 3,039.56

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Solution

The fourth proportional to 5,397.38, 7,448.40 and 3,039.56 is: 4,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.38 : 7,448.40 = 3,039.56 : x
  2. Step 2: Convert to fraction form
    5,397.38/7,448.40 = 3,039.56/x
  3. Step 3: Cross multiply
    5,397.38x = 7,448.40 × 3,039.56
  4. Step 4: Simplify right side
    5,397.38x = 22,639,821.46
  5. Step 5: Solve for x
    x = 22,639,821.46/5,397.38
  6. Step 6: Final answer
    x = 4,194.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.